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The tile location and orientation can be defined by the table of records

Tile #
Parent nameParent indexElement nameElement indexXc[µm]Yc[µm]Yc[µm]Rotation in X-Y [°]Rotation in Y-Z [°]Rotation in X-Z[° angle [degree]Tilt in X-Y[degree°]Tilt in Y-Z[degree°]Tilt in X-Z[degree°]

where

  • Tile # –  Tile number in DAQ
  • Xc, Yc, and Zc[µm] –  tile center coordinates in micrometers
  • Rotation angle angles [degree] – tile sensor ideal (design) rotation angle in X-Y detector plane in degrees, presumably it is N*90, where N=0,1,2,3,  Y-Z,  X-Z planes of the parent frame
  • Tilt in X-Y,  Y-Z,  X-Z[degree] – small angles for correction of the tile sensor orientation w.r.t. design rotation angle

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Suggested method for imaging detector geometry description provides simple and unambiguous way of pixel coordinate parametrization. This method utilizes all available information from optical measurement and design of the detector and tiles. All geometry parameters are extracted without fitting technique and presented by natural intuitive way.

 

References

Euler angles, Tait–Bryan angles, nautical angles, Cardan angles etc.